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A topological quantum computer is a theoretical quantum computer proposed by Russian-American physicist Alexei Kitaev in 1997. [1] It employs quasiparticles in two-dimensional systems, called anyons, whose world lines pass around one another to form braids in a three-dimensional spacetime (i.e., one temporal plus two spatial dimensions).
Jan 4, 2001 · Topological Quantum Computation. Michael H. Freedman, Alexei Kitaev, Michael J. Larsen, Zhenghan Wang. The theory of quantum computation can be constructed from the abstract study of anyonic systems. In mathematical terms, these are unitary topological modular functors.
- Michael H. Freedman, Alexei Kitaev, Alexei Kitaev, Michael J. Larsen, Zhenghan Wang
- 2001
Topological Quantum Computation. Michael H. Freedman∗, Alexei Kitaev∗†, Michael J. Larsen‡. and Zhenghan Wang‡. February 1, 2008. ∗Microsoft Research, One Microsoft Way, Redmond, WA 98052. ∗†On leave from L.D. Landau Institute for Theoretical Physics, Kosygina St. 2, Moscow, 117940, Russia.
- Michael H. Freedman, Alexei Kitaev, Alexei Kitaev, Michael J. Larsen, Zhenghan Wang
- 2001
In quantum information and computation, the Solovay–Kitaev theorem says that if a set of single-qubit quantum gates generates a dense subgroup of SU(2), then that set can be used to approximate any desired quantum gate with a short sequence of gates that can also be found efficiently.
Cited by. Year. Fault-tolerant quantum computation by anyons. AY Kitaev. Annals of physics 303 (1), 2-30. , 2003. 7950. 2003. Unpaired Majorana fermions in quantum wires.
Jan 20, 2000 · Simulation of topological field theories by quantum computers. Michael H. Freedman, Alexei Kitaev, Zhenghan Wang. Quantum computers will work by evolving a high tensor power of a small (e.g. two) dimensional Hilbert space by local gates, which can be implemented by applying a local Hamiltonian H for a time t.
Feb 15, 2023 · A minimal artificial Kitaev chain can be realized by using two spin-polarized quantum dots in an InSb nanowire strongly coupled by both elastic co-tunnelling and crossed Andreev reflection.
